TSTP Solution File: NUM590+3 by Zenon---0.7.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : NUM590+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n025.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Mon Jul 18 15:57:08 EDT 2022

% Result   : Theorem 0.73s 0.91s
% Output   : Proof 0.73s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10  % Problem  : NUM590+3 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.11  % Command  : run_zenon %s %d
% 0.11/0.30  % Computer : n025.cluster.edu
% 0.11/0.30  % Model    : x86_64 x86_64
% 0.11/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30  % Memory   : 8042.1875MB
% 0.11/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30  % CPULimit : 300
% 0.11/0.30  % WCLimit  : 600
% 0.11/0.30  % DateTime : Wed Jul  6 14:29:28 EDT 2022
% 0.11/0.30  % CPUTime  : 
% 0.73/0.91  (* PROOF-FOUND *)
% 0.73/0.91  % SZS status Theorem
% 0.73/0.91  (* BEGIN-PROOF *)
% 0.73/0.91  % SZS output start Proof
% 0.73/0.91  Theorem m__ : ((forall W0 : zenon_U, ((aElementOf0 W0 (xY))->(aElementOf0 W0 (szNzAzT0))))\/(aSubsetOf0 (xY) (szNzAzT0))).
% 0.73/0.91  Proof.
% 0.73/0.91  apply NNPP. intro zenon_G.
% 0.73/0.91  apply (zenon_and_s _ _ m__4448_02). zenon_intro zenon_H5c. zenon_intro zenon_H5b.
% 0.73/0.91  apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H5e. zenon_intro zenon_H5d.
% 0.73/0.91  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H60. zenon_intro zenon_H5f.
% 0.73/0.91  apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H62. zenon_intro zenon_H61.
% 0.73/0.91  apply (zenon_notor_s _ _ zenon_G). zenon_intro zenon_H64. zenon_intro zenon_H63.
% 0.73/0.91  apply (zenon_notallex_s (fun W0 : zenon_U => ((aElementOf0 W0 (xY))->(aElementOf0 W0 (szNzAzT0)))) zenon_H64); [ zenon_intro zenon_H65; idtac ].
% 0.73/0.91  elim zenon_H65. zenon_intro zenon_TW0_dy. zenon_intro zenon_H67.
% 0.73/0.91  apply (zenon_notimply_s _ _ zenon_H67). zenon_intro zenon_H69. zenon_intro zenon_H68.
% 0.73/0.91  generalize (m__3671 (xi)). zenon_intro zenon_H6a.
% 0.73/0.91  apply (zenon_imply_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ].
% 0.73/0.91  exact (zenon_H6c m__4448).
% 0.73/0.91  apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H6e. zenon_intro zenon_H6d.
% 0.73/0.91  apply (zenon_and_s _ _ zenon_H6d). zenon_intro zenon_H70. zenon_intro zenon_H6f.
% 0.73/0.91  generalize (zenon_H70 zenon_TW0_dy). zenon_intro zenon_H71.
% 0.73/0.91  apply (zenon_imply_s _ _ zenon_H71); [ zenon_intro zenon_H73 | zenon_intro zenon_H72 ].
% 0.73/0.91  generalize (zenon_H62 zenon_TW0_dy). zenon_intro zenon_H74.
% 0.73/0.91  apply (zenon_equiv_s _ _ zenon_H74); [ zenon_intro zenon_H77; zenon_intro zenon_H76 | zenon_intro zenon_H69; zenon_intro zenon_H75 ].
% 0.73/0.91  exact (zenon_H77 zenon_H69).
% 0.73/0.91  apply (zenon_and_s _ _ zenon_H75). zenon_intro zenon_H79. zenon_intro zenon_H78.
% 0.73/0.91  apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_H7b. zenon_intro zenon_H7a.
% 0.73/0.91  exact (zenon_H73 zenon_H7b).
% 0.73/0.91  exact (zenon_H68 zenon_H72).
% 0.73/0.91  Qed.
% 0.73/0.91  % SZS output end Proof
% 0.73/0.91  (* END-PROOF *)
% 0.73/0.91  nodes searched: 7046
% 0.73/0.91  max branch formulas: 2491
% 0.73/0.91  proof nodes created: 97
% 0.73/0.91  formulas created: 55975
% 0.73/0.91  
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